{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def draw_clusters(X, clusters, centroids):\n",
    "    #颜色列表\n",
    "    c = [\"b\", \"g\", \"r\", \"c\", \"m\", \"y\"]\n",
    "    #聚类数量\n",
    "    d = np.max(clusters)\n",
    "    #画出每种聚类\n",
    "    for i in range(d+1):\n",
    "        plt.scatter(X[clusters==i][:, 0], X[clusters==i][:, 1], c=c[i], s=1)\n",
    "    \n",
    "    #画出中心\n",
    "    plt.scatter(centroids[:, 0], centroids[:, 1], c=\"black\")\n",
    "    plt.show()\n",
    "\n",
    "def k_means(X, k, plot=0):\n",
    "    #数据维度\n",
    "    n, d = X.shape\n",
    "    #聚类标签\n",
    "    clusters = np.zeros(n, dtype=int)\n",
    "    #初始中心点\n",
    "    index = np.random.randint(0, n, k)\n",
    "    #centroids = np.random.rand(k, d)\n",
    "    centroids = X[index]\n",
    "    #记录上一轮迭代的聚类中心\n",
    "    centroids_pre = np.copy(centroids)\n",
    "    #设置阈值\n",
    "    D = 1e-5\n",
    "    \n",
    "    while True:\n",
    "        #计算距离矩阵\n",
    "        d1 = np.sum(X ** 2, axis=1).reshape(-1, 1)\n",
    "        d2 = np.sum(centroids ** 2, axis=1).reshape(1, -1)\n",
    "        dist = d1 + d2 - 2 * X.dot(centroids.T)\n",
    "        \n",
    "        #STEP1:找到最近的中心\n",
    "        clusters = np.argmin(dist, axis=1)\n",
    "        #STEP2:重新计算中心\n",
    "        for i in range(k):\n",
    "            centroids[i] = np.mean(X[clusters==i], axis=0)\n",
    "            \n",
    "        #计算误差\n",
    "        delta = np.linalg.norm(centroids - centroids_pre)\n",
    "        \n",
    "        #判断是否作图\n",
    "        if plot:\n",
    "            draw_clusters(X, clusters, centroids)\n",
    "        \n",
    "        if delta < D:\n",
    "            break\n",
    "        \n",
    "        centroids_pre = np.copy(centroids)\n",
    "        \n",
    "X = np.genfromtxt(\"X.dat\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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nreAtj9uDtuNtuK3oNvS92odLly8hNBKK2rYTvz0Bf58fW/ZtQdmqMrMNAFDtqUbtmlrs/s/d2P36bjSsb7DNXHh5vuCL1uxTC1r4a2hMIZwiXcmTp/bmWgDSUEpaf2Nloy1zZzAcxOGTh+Hv9ePZN6TnzUtvv4SNBRtt12l9pdUU/EVLi7Bi8Qq097Sj9se12P3A7oi0Cp3vd6Lz/U4zOOv4B8fx5KYn8fLAywiNhNDe0448Vx7ae9pxU95N8BZ7UbCkAANnB7D9ju3Y/Z+7bUZpCMBb7LUZntV8QBqpBS38NTQSRQLeWKqwd4p05ekSeD6eak+1aeCl8rmuXOy+f7dZhrtrQsCkhEiIe3I86BnqwQ3LbgAA+Pv8eOCHD2DNNWvgLfbiyU1Pyv1jA8WBdw6g8z3pJvr2mbfRN9wHX4UP1Z5q83pUvtpTDX+fX2bzHDNKe3I8CI+G0XKkBY2Vjbi9+PaoVJL26EktaOGfaphpd8+Zvn4qIwFvrGhr3PLP0GgIEDA9fEjw77p3FwbDg45LLO66d5fk80fD+B38DlzpMoeOSa9U+OAr9+HwycPIy8rDavdqjF4ZxcH+gzg4cNBM5Zw+Lx2td7Wiob0B/j6/6cMPACOXRgAA7557F28E30DhkkJ0DXbhi2lfRLO3GTdfczPeCLyBZ7uexfbbt6PztPT8cS1wmZ5IlOY53n3RmHlo4T8VSFSAOpWLJWCmQzBrd9PoSMAbK1oKZMDSfim9AmD5xm+/Y7s5U2jvaTf99PuH+9E33Iftd2xHVnoWth3aZhpOf3nyl2h9pRWDFwbhSnOh83Snmbmz41QHvEVe+Cp8OBM+g5++/VNcwRW097Rj+OIwhBAoXFKI/nP9KMouwnVLrsOhARkY9q9v/CsuXr4IYIzfv1ny+4/vfRx9Z/vQd7YPdT+pw3MPPmdzO+VpnomyIm0/Wmrn8aSz0DOG5CIpwt8wjDsB/B3kSl7fEUL8dZRyDwD4FwBlQoir15UnUQHqVM5JwJDQD4WAbdvi1zsZaHfT6MjNjXvfY/HbXPutWV2DLfu24Ka8m2zpk80lFsMB+Pv82Ne7Dz1neszjdG7T/iZ8//XvY/DCINyZbpw8exJDF4ckL39uAJ4cD/x9fqTPT8fI5REMnB8w20EDBGHlopXYkL8Bo1dG0XGqwxT8SxcuxfY7tmNP9x6T3y/KLgIAdA12YU/3nohkc/yTUlkEQgFzxTAS4InOBPSMYeowaeFvGMZ8ADsAfA5yofZOwzD2CCF+o5RbDOCPARyd7DVTHokKUKdyTgKGBonGRqC5eWoFcwICTmNi4MKROPwPRz+EZ5nHllmTtGbXAhdOnjuJK1euoCi7CIPhQYRGQiZlA8hAq8ELg3jq1acAAOX55UhfkI7Kgkpcn329XJC9oAqVhZW4MHIBne91Ykn6EpwbOYflWcvxQegDHDl1BEdOHUFORg4AYO3ytTh57iQGLwya7puhkRBgyLiD3a/vNmkrjoiBb8wucPyD46aNgX6b08I08e6ZRnKRDM1/PYAeIUQvABiG8QyALwD4jVLuSQDNAP5nEq6Z2khUgCZSLhiUGn9jI9DQoHn4VEQcOs5p7d3td2zHyOURjF4eNTV7CHvZrPQsU6jvOLYD3YPdptCn6F9/rx/LMpbhzMUzWJaxDIYw0HOmBz1neuAr95mLsFd7qrHh2g3ofK8T50bOwVvkxa/e+xUAIGN+BjLTMjF0cQgA8M7wOxj+aBieHI+ZpK3ptiZbAjq+qEy0RWEolcWtBbcifV666aKqLkwTC9pTaOowLwl1rAJwkv1/amyfCcMwSgFcJ4R4PlZFhmE8ZhjGMcMwjgUCgSQ07SpAW5ukerKytOBPBQSDQEuL/KT/H3lEzsza2hxPIeqi7bg8HgwHsad7DzYWbMTBARmBW19Wj/BoGLU/rsUT/ifQ+korAqEAKvIrsCZvDXIycrA8azkAoDi7GKUrS/HkpidR4i7BmYtnAABnLp5B6cpSuDPdAABXuguPr38cWWlZ0jCb7kL9unoULS3C8MVhDF0cQub8TFy8fBFDF4fM84Y/GgYA9Az1YMu+LQiGgzKO4Me1aO9pt+X6IUG+7dA2PPLsI7YF20lwvzzwMtp72k1jcF1pnc0VVGNmkAzN32khNjNs2DCMeQD+BsCX41UkhNgJYCcgI3yT0LaZQTINs4lSSNpLZ3qg2mna2oD2dqC6OuIZOS1E0h3sxj3P3IOuwS7Ul9Ujz5WHnqEefGzoYyb37y3yIhgOYkfnDlt97T3tpitny5EWHD11FF2DXagsqMSGVRtMDyDTDjB8En9/9O8RGg0hbV4aPu7+OOpfqcfghUH0ne0DYGX9rCqswppr1uDoqaN4c/BNnBs5h+LsYjN7KABz1rGxYKMtr1BoNITDA4dtmUY5YhnBNWYOyRD+pwBcx/7PB/Au+38xgDUADhiGAQArAOwxDKPmqjX6JtNjJlEKaaLXjDZo6MHEGepgzD+V++RkrHzk2UfQNdiFEncJXv/gdQTCARRlF6EopwjF2cXoHe7FxoKNODxwGACQvTAb+Uvy8daZtzB0cQhDF4cw35iPy+IyRq+MAgAMw4Ar3YWG9TJHP3kAPfXaU2ZbRq+Mon6vFPwAsGrxKpw+fxr95/pRnF2MkcsjEYPNXZ67UJhdaGX0HHNRbVjfYCuXlZaFJ297Eunz0x0zemphn5pIhvDvBHCjYRhFAE4DeBDAQ3RQCHEWgPlWGIZxAMD/vGoFPzAzHjMTvWa0QUO7fDpDHYxjDM5OxkpK2rb9ju349tFv4+DAQYxcsgQvpU4IhoI4/v5xDF4YxHBg2FbvZXEZAJA2Lw3eIi/8fX4c7D+I7732PeQvzTcFfPrr6cDPgZGhESzIXoCih4owmCePFSwtwML5C9E73GtuAFBZUAkDBg4OHET3YLe54Ezr0VbAsPP63AZAM5Kya8vMcwjaXTM1MWnOXwhxCUADgH0A3gDwIyHECcMwvm4YxvgSe18tIIEwHRozcdDAxK5ZV2d5EHE+m+/XSByKTYAWVicufHXuarzw8Atwu9zoHuwGAJz+UKZR9hZ7sf2O7WjY24Adx3Zg8MIgPMtkRs78xfkAZERtxvwMLHctx6GBQzh78azppdM73ItD/YewJG0J8B/AyE9GMHJmBBDApaFL+PU//Rr4D2kz6DjVgd7hXpPnp7q/6f0m1ixfA3emG/4+P9qOt0le/9A2bDu4zaSAAHuWTzNYzIEEVm0eGqmBpPj5CyHaAbQr+/4yStlNybjmrMJ4qZXxUC6T1dC55trSYq9La/x2JPJc2PNoq0BEKgfSgNuOt8Hf50dVQRUEBDas2oAnPvMEmn/RbLpFVhZU4o/W/REef/FxrF+1Hqe6TmH0yiguXr6Ii2Hpi0+pGeYb8+FKc+H8yHmMXBkBfgZg1N60KyNXgJ8B93/lfrjSXDjwzgEcHDiIqsIqpM1Lg7/PjycPPWnaHngSuZfefgmrc1cjNGIt5EIBalsrt+LFnhflzEChhADtrpmq0BG+04FEqZWJBHMlk2LSAV6xkchAy+5hnQsQwQDWth/Hp66rwbdfacW2g9sQGg2hdk0tXnr7JYxcHsGhgUNIX5CO1qOtOPquFQaTviAdX/v51xAIB0yBfPnKZcfLXhaXcX7kPHIycqTL5tkov+GsXK93w7UbsH7VehwcOIj1q9YDQtoFVmStQHl+OU6fO42BcwNo2NuAjddtNAPGdnTuMAeyLfu2mIu3qFQPh+b8UxNa+E8HoglVdf90BnM5ITdXXnOuGXoTnWklMjiymVQugCfezAN2+gHPHoAyrAu59CJ5z5S4S+Dv9cPf68cty29BZUElRq+Mwt/rx+K0xQCAi5ekpn/q/Clc47oGmQsy0X+uHwCQtSAL4UthiLG/wiWF6F/a7zgApC1LM9frrSqsgq/ch6OnjpqpHQ72yxxA3iIvBs4NwN/rx8b8jRGriLUebY1w+7TdUubpRIFiTny/tgfMHLTwnw5EMwry/YkEc403F9BEMNO5hWYCid5D9Xm1tQE1NcCePdHvCRswGlxjp14I4qe9P0V5fjk+U/AZPFr6KDY+tRGDFwbx2gevwVfhw7NvPAsAOD963qxqHubhCq7gt+HfArA8dkKXZF5+AwaGLw7jwugF4LMA/h126icNSPtcGkbHdh7sP4i0eWmm4M9ckIkLly7Ak+NBa3Urdv/nbpPKyXXlojvYjQPvHMCtBbfi8EnpjcTdPgncEMxX+nLS/nX6hpmDFv7ThXiCk4K5mpsjj8eig5JN1cSqbzZ7AMW6/xO5h3QvDhyQfv5A3IGBrspdKj+54pO455l78Gef+TN8/dDXcUVcwYF3DqBnqAcFSwuAK8CSjCXoP9uP8yNyIEibl4bRK6MYDA9i7fK1eHvobZwfOQ8xFl7z0eWPsOhTi3B5wWVc2HdBzgCWAvO98/GxTR/DJ/I+gY5THaj2VMOV5oK/zw93phuDFwZR4i7Bcw8+h9W5q9GwoQHNv2hG7b/WovWuVpPm6R3qNReRr11Ta8s+CsCWqXT7HdvN2YITtD1g5qCXcZwukDG1udlZcMYSTnRuY6OM9I2leU8mo2i8csDsjQmId/+dEOt3xdL86VrV1XJgoGt2d+PNRz6Pz6/rweUbi3H/J+43F2hxLXAhfEnm5M9emI2czByszFqJI6ftSdiI06cBgJA+L10aehVkpWUhNBoyhTsALE5fjPMj5+FZ5sH37vkeHv63h9E73IvyVeX45LWfxOsfvC7tAAbQckR6kpEgb2hvwGr3arjSXDKoTADbDm0zU1JTygdN5cwcEl3GcX5TU9M0NGf82LlzZ9Njjz02081IHlavBvLypJBwuSKPu1zAxo3yMxiUAuPAAWDNGqC0VJ77la8An/ucVWbHDlkvr6+5GfiLv5D7Nm2S+3jZkydlOoK33pKziLw8ed1o2LFDCrK8PHltamO0MrHqmknEu/9OcPpddC9LS+X9yM2NvCd0rT/+Y6CgwLrmI4/AfeAoNr+Vhfv+dBf6F3yIL6/9Ml56+yWc/UgS9AuMBQhfCmP44jBOnj+JnIwc3F9yPxbOW4h5xjzMN+bjw9EPce/qe9E/3G8OAOT7z5ExPwMXLl2wCX4AwBXgMi7jzIUz6B/ux6/eH8vxk5aBfW/vQ//Zfhw5dQRp89LQf7YfnmUe/O0df4vnup7DyfMn8cMTP0R2Rja+c/w72HT9JjN9RJ4rDxsLNsKV5jI/AUkD7XhlB1bnrkZ4NGx+p+MaycW2bdvea2pq2hmvnKZ9pgvReP9oPD7RO1lZzm6XnILhRlon8LJEU3z4IeD1AoGAbEM0jT0RSoSXSdVZwESylTr9dvW+t7bK79xOw6/FqaCbbgI6OpA1NITs3/19fLN2EKVrvPi9m34Pv37v13j/w/fRNyzTLhQtLULf2T4MXRzCB6EPcM2ia3DsfWsm/NoHryF8KYzshdkY/mgYK7NW4r3QeyhYUoCczBy89sFrcLvcOH3+NAYvDKJgcQEGzg9ggbEAt99wO57vkWm23vvwPRQsLcCqRauw/Y7t2LJvCzpOdwAA1uStwd033m26plJa5xJ3CbZWbkXZqjJAIC61w3l9AJrjTxFo4T8RJEIHJHqMc8e7dlkeN6GxxbWjCd2aGnlOTY1Vx0svSY2UjMZOZWvG4u5uuknSE36/1FKjCcZEhGasWIHZAqdn4/Tb+YDAB2nATsmp9bW1yXtTVQUcPIhlpwbxzZMl+IMsv+n1AwDLMpZhde5qbL99O/7p1/+En3T/BEvSl+Dfuv8NC+cthDvTjcKcQnSc6kCeKw+BsEyAuGrJKlyffT06TnfgmqxrAACnz582M36uWroKA+cHcElcwuBFaxZwInACgBT0n77u07jdc7sp/HOzLBdNSut8+JRcT/jlgZeRlZaFJ/xPICs9y1GQO+U2Mm+j5vhnHFr4cySqtUbTuukldxJ+3d3APfcAXV32Y3V1ljbe1mZF6caj43bvlueUlUlBT3X4/ZFGY162qQl44QUrK+Xx48Ctt1rXm2za6NkaKzAeLyf+7GiQBuyDOB+QN24EauVi7aipkc8DwD2ba/HMASs3/zxjHs5cPIOOUx14sedFHOo/hMELg3j+Lamd2/A/AAAgAElEQVSlf3TlI7wbehc3um800yksXbgUZz86i2PvHcN8Yz4AoP+sdAF1LXCZGT9HL40iOyMbwxeHYQgDvnIf9r+zH++dfw+FSwvx+PrHcff378bWyq2ynSyHj7kC2YYGNGxoMPl8QiIaPx8ctMafGtDCnyNRbxZV++PnRBN+W7ZIwV9SErl4CwmLidImVAdRENEEbzgstU+qOy9PDhbp6ZbHCtFME8VsXQwmUS8ndbBvaLAMv52d1iBeUwM89ZS8v34/cPiwHATcbnOgdQPY/cBuNO1vwg9e/wGGLg6ZaRzaXm3DwDm5+hY35C5duNRcj9ezzIPQSMi0FxDvf+7iOQAwDcgAbJTRxsKNaP5cM+7+/t049t4xLF64GN/65bfMyOIXHn7BprWTlw8gBXeiglx78qQ2tMGXI1GjIDfO5uYCvb3SuJebaz/GsW6dLNfWJo2A0epzMtg6Yc0aywjsclnlN22KvPbKlfLa11xjN/Jyw2Rmpjzvf/yP8Wn+0QzPU3XeVCHacwPs/YIGArqHZBQuKLDubV0d8MMfSg3f6wWuuw7Yvx84KIU2Xn1V1hkOw/WNZlQ/9zqMDZ+G/9xxuF1uDJwbwNmPziJjfgYuiUsApA8/IN04l2Usw4qsFegd7sWHIx/amro4fTGKc4rNWIBF6YvwpZu/hNIVpTh78SweWvMQ/rzyzxEeDeOtM2/h1LlTeHvobSxJX4LMtEysX7UeN+TcgD98/g/xD8f+Ab1Dvabb5rbbttmMtNyQ62TczXXl2gy/KpzO15g8EjX4JmMxl6sHE0nItmeP1Pb27IldbvVqSbesXp1YvaSlB4OSMrr7bvmpthWIXFyE/8/bSIMLabdUh9sNnDghNdRYv8OpbhKGURYyiYqJnjcT4P1CTYTX3w8UFclPwCpXUyMFf2mpHKgJP/6x/N2PPCLrGbO73LdjPwDgtsLbkL0wGwDMtXQz52dCQGBx+mJkZ2TjzMUz6DvbZ0vKVrayDMXZxTg/ch6vB15HxvwMAMCHIx9ide5qvP/h++gd7jUNyrU/rkXLkRaTKnr1g1fRN9yHHZ070LC3QUbvFnuxtXKr6eapum06JWwbTxI3nfBtZqFpn8kiFl0QDDp7g8QqV1srqZdQyOKQR0akYB4ZAW6/3e5bTkKUuOfDh2VZwBocyOBbWxs5+ASDcr/fD1RWynrI+8fJaJnIgvOJIJVsAxONjWhpkZo/ID8LC637smePRfkUF1t19PXJwba9HRgaMncXpOXi2+v+G4JZ1kpaxdnFuOvGu/D6B6/j4MBBM8jLs8yDPFceOk51mGsA9A73mu6clQWVOPfRObz6watYnL4YgXDA5PK337FdJo8bszOsWLQC1y25Dp5lHrwRfANp89JQsFjOTEuXl5qrcG26fhN8ubEXaYm2Lxo0LTSz0MJ/KtHaGumymahrZzAoBXl7O1BfL3n5m26yjIh+v9Q2u7stgUN1qEKcNP+yssggsbY2a7BIT7eWjKRVquLZMybK8aeSbSCerSdahHVNDfD888CFC5I2q2EZzGtq5HMaHbXonvJyeW/5/R5D+tFONPxDHgb/cTsgYGbc7A524+DAQTO4a74xHz1nepCTLtM4L05fjGUZyzB4YdD07Hln+B2T/z8/ch4tR1rgWuDCrnt3oe14m5k8blnGMnSc6oCv3IcTgRPoOCW9fCgtsyvdFVNAOyVsG08SN53wbWahhf9kkYiR2OuVwqClxRIg3Euktja2a2durhxIfvlL4N//XWqYALBvH9DTA7zzDnDvvUBFBXDkCHDpkiWkmpqsOmk2wdvKPVbuvFMKJBJis8F/PxmINwuhZ1xVJQdWio3Yswc4dEg+X78f+O53Lc7/u9+V+yoqpNDv6AA++UlJvQ0PA7/9LXDDDYAQso6iIqC9He61HWi66y683X0Sd30aeHPJm6Z2z6N6u89ICvC1375mNvPOG+7ET/t+ahqK5xnzcEVcAQB87z++hwP9B3Cw/yB85T4sSluEopwi7OjcgWe7ZJQxxQzcmHMjbrv+NnMx1mgC2imSV0f3zh4kRfgbhnEngL8DMB/Ad4QQf60c3wLgDwBcAhAAsFkI0Z+Ma884SGCQcOfCsaHB0rRJgPh8MuyfOH1AliHDezAovxN9U10tB4eWFqlJdnVJw63XK42Mly/LAaClRQoZFZxSuvNOWS8P7OJupS0tcoawaZPFXdMs5JFHInPYXC2INQvp7pb3fcw/H4AU1iTkATkD8/uBo0flMUC60AJyMK6qsuryWz79eOopGZNx223SINzXJ6mgH/wANwDYeSELt+VJQU5RupnzM3Hh8gWcG5EePYvSFuHDUWn07Tvbh0A4gEVpi3DpyiVcvHwR7kw3lixcYlJDJe4S3Pfx+5CXJXP19w31mQuydA1KN+T+s/1YnbsaT/ifQOe7nWbaBhVOrpytLG1106amcT4IjenEpIW/YRjzAewA8DnI9Xw7DcPYI4T4DSt2HMA6IUTYMIw/BNAM4IuTvfaMgmvCPp8UoKTRkzBVfcIBeby9XVI4Xq/k4DlFwykgr1dSNbt3y30VFYDHA9x8s8U1V1VJoQEAp+WKUNi4UcYU1NTYhfb3vy8HCr9faqAqBaQOZLfeCjz5pGxrlEXKJ33vUn0WsWWLvF9erxTU4bC8d9T2ujrLh3/DBuDzn5f7amqAO+6QA8Pbb0vqDpDnj4wAaWlyJhAMWjO4igrgN7+RM4PsbPyXT9+NO5d048hHb5p8/r0l9+K57ucQvhSGO9ONj7k/ho5THchckIl3ht4BAHMwKFhagC9+4ou47+P3Yev+rebaAV969kvoGerBS2+/hD8p/xP0DvXib+74G/y87+c4/sFxPLnpSbzY8yK8xd6oi7IDUTh7oXxqpC6EEJPaAJQD2Mf+/xqAr8UoXwrgcLx6P/WpT4mURnOzEID8FEKIxkb5v9crRCAQ/bxAQJ5D5UtK5Gdjo9zf1SW/+3yyLjpG3wEhioqEqKiQ33k5un5jo3Ud2udUhtpPZanddJ7HIz8rK6228XLJunepjK4uIaqr5acT+D32+ax7HwhY94/fS9qqquzPpKREnkPPZWzrvClHuH0QaJJbxpMZAk0Qrv/lEh0DHaJjoENk/q9M8ziaILK+kSXQBLHqW6sEmiC8u7wiEAqIQCggqp+utpX1/J3H/AyE5HNt/kWzeV7jzxvN/YkgEAqI5l80j+uciWC6rjMbAeCYSEB2J4P2WQXgJPv/FIANMco/CmBvEq47s+A8cXe3pFOqqqSWSJG6TiBtsbVV8seHDkm6hrTyAweA7dvtGicgXQaJMiBNn9I4DA7Kz9JSqZWS0VblspubJR3R2io9TqgMGaZp1sLpjJ4ewDCcA9o4xpPWIpU8feKBXHSjgWwmhw/babxQSN67jAzg4kVJ1a1aZVFH9Ll8ObBwodT6W1slNdfaKp8pgHUnhtCQC3zjvy7AJXHJdP8MXwrj5YGXERoN4cKlCwBgcvZulxuhsyGIK1L99vf5cf8P78dtRbdha+VWfDj6IUYvj+IzBZ9BeDSMns4e9Az1mFx9aCQEb7EX/l4/br/h9nFx99NlxNXrACQBiYwQsTYAvwvJ89P/XwLw7Shlfx/ALwEsjHL8MQDHABwrKCiY0tExqaiutrQ/VTMmzbGjw9KeqXxxsfzMyZGfWVny0+2O1A4bG+W2bp2lGfp88lpUH2moahvU2QZp3KRpVlVZ9fFzu7qsmUm0ugmxtPnZpOnHgzpL6uiwPy/S/LkGX1ho3V+61/Pm2WcCtBUUWJ9r1woBiLOu+WL9ZktbX/pXS0X5P5WLjoEO4d3lFWiCKPqbIrH52c3C+89esbNzp8hrzhNr/3GtTctHE2yaf+N+qdU3/rxRNO5vFB0DHeZMwLfPJxr3N45b858uaM0/OjCNmv8pANex//MBvKsWMgzDC+DPAVQJIT6KMhDtBLATkPn8k9C25MNJw92+3fp0u+153skts7dXGmspB09WltwHSCNfXp40xNInIHlhMvryOAFa54C0+PZ2y3ccsBLEEZyWh1SNuB6PZbAMhSztlVJScFdRJ8QyfM8mTT8eeFxFVhawc6eppQOQnH5rq7QD/PM/y1napUvW8U2bpNZ/5QqwYIF83u+9Zx0fkAZehEJypgBgSfgyXvyXNGz4b6P43Z40/J//chYdH3WY3L0nx4M7PHeYi8S8GXwTgXAAI5dHsG7lOqTPS0dJbgkGzg/g8fWP483BN9Ez1AMIqak33daEYDiIW5+6Ve4HbLn6AcRco3c6oHoRaTfRySMZwr8TwI2GYRQBOA3gQQAP8QKGYZQC+D8A7hRC/DYJ15w8Jmp0dKI+ODVAht+dO+W03+eT7pNbtwIvviiFw5tvymNutxQcXq8UGHv2SCPr1q32YCwaXFpaJC1w4IDUE1tbzSRhGBw03QVRW2vtb22V1+SZPpubgWeflW0oLpZ19fTIrbpalqHBgoycX/yi/FSN2gQybjtl9Uwln/7JQnWbJUPuNddIoU50DgA88IC8H/Pn2+uor5cuuwMDUvCXlcl7PzQkjetvvCGf5+nTkhYKBJBzfhSHnsnAisGLyErLxv/+jGEK6p6hHlx564pZPaWCOPvRWQx/NIyeMz14a+gtBMIBpM9LR89QD0rcJai9udY8p+14G7oGu8yBBEIuNwkA4dEwZhqa5kk+Jp3eQQhxCUADgH0A3gDwIyHECcMwvm4YBkW9tABYBOBfDMN41TCMOLkQpgEkxFtbrZQFTukLVPDwfsA59QJgCdInnpCa+Msvy/0tLdInv7oaePppKwWA2y0FZE6OHCxcLunR4/dLD5L775d1bd0qBcxtt8lzwmEp9AErZ5DfL3/XI49IYU1cNGC5jdLg09srtVPyZtm1S5YhF9OsLFk+K8vKe8NTT6j3TL0/Vxu4zaKxUQ6Cb70F/OQn8v/KSnns8GHg0UflfRwYkJ9kj+nrA66/3qrzP/9TCn6PB/joIzkrSEuT533wgfwfwIrBizhdko8vdX6EG98cgmuBlQ+nd7gXVQVVqCyoxGcKPoOlC5cCkNG+lPrZs8yDm/JugrfYi67BLuzptl7DmtU1qPZU4/mHnkfh0kJsO7QN3UHZp3nenpbDLQiGY7wfU4S60jo0e5sTigaeyXbOKiTCDc3ENuXePk48+Hi4aTqfOPnqams/8fPkuaPy9qo3Dh0TwuLvKyvleStXWmWqquz8MT+fOHmq3+cTpmcQ9yai8m63EJs3W7YKzuPz+6D+nsncs9kGld+nffSMnDyluJ2E23j27pX3mTj/+nrLVkBbTo4Q3/qWEHl5Qjz8sLNNYOycQNY84fZBFP9tsah/vt7k78lTB00QJd8uEY0/bzS/+/b5JNf/88YIvpzOo/3Nv2gWXYEuWzleRojU5d3Vds41YBo5/9kJHsDEPWOAxLRWmjlUVkqteft2i0q6807pH0+ZKwFZ7vBhSefQvoYGyyZA2vTWsXzqtNhKZqb8PydHvv6UQOzoUelXXl8vNceiIuDb35YzEE4HPfCA5JUpj7zPJ20Ffr/U/KurZds59cUXf8nNlffniSfsqScmcs9mE1SbCHk7UZwGxTyoNOCePdJOUlkpUz+88IKcqf3yl8CZMzI6u75e1jE4CGRnS7/+BQuk9v/Vr8qUEEeOACtWAO+/DyxZApw7ByxbJmMH9u1D7uAg6l4F/ndWL7rPdMOV5kLrK62484Y7UVVQhdHLo9hYsBG1N9ciKz3L1JjzsvJwa8Gt2HpgK7oCXRg4P4DWu1ptPvucT+f5fKhMzeoatBxuQWgkZNoEUomKqSutQygEhA7XIbg69UNJZgyJjBAzsaW8n38gYNfohbC0YNL8srPlZ0WFVZb8vauqpHZOvuGkqXu9Ulv0+SwtPzNTao5UJjPT0gS5rzj3Kec+50LY4xCcNHiuwdLvqK62fNa5dkuzAfUaQsT3i58t4P77NPPhMyh+L5z+r6y0Pw/+fFyuSI0/1vHNm+1lKivFR7dVib/fVS8q2yodvXlKvl1i+u/79vlMP//mXzQL7z97bed4/9krm56gJk+adeP+yBlEqmC8E1KnSd5sBbTmP8WghbvJ9z4YlF46Xi/wJ38i8+LTql2//a3Uynt7paZHqQLIONjcbNVLHH9Pj7XvwgWpObpckhfu6ZEzggsX5Exi9WppQMzMtHzzW1okB02eR4cPW/V/5SvS64Q4fe7rHwjI61RVSe20tVXy2txg67R8IR3fssXSlmP5x6cygkGp4Tc2yv+3bbM8pciLi8pFW/oxELBSPdx7r0zfcOwYsGiRXD8ZkLOA/n5bdk+43cAXviBTPwBWnAeVWbIEOHQI6QAevyxwc5GBB64Blq4qxv2fuB/3ldyH3qFedA12Ic+Vh56hHrR0tOBE4ATKri3DtkPbUL+uHu8Mv4OM+Rl4PfA6Vrulc0GiRlV1lpCKGK+DWaLrOF1N0MJ/vOAvvJq7hwyrt98OPPccsHmz9Nzo6bGEf2+vZVylXP01NfKlp3w+ZIzNzwdee00GgdExyhNDg4PLZXmOcJDQoLTQfr81YNDA09kZ6RZKlBCd7wQKbOKpDghbt8rfSPTVbAQNbmS45mkwyJuJArv8/kjvp2BQ3hefT37W1krvKgBYvFgK/+XLgWuvBT77WSuvj8cjqSK3Wy4AA8hzN2606s7JkQ4CBw8Chw5h0yHgmw+W4A+ypLB/eeBldA12ocRdgqaqJvzZz/8MH41+hPaedoRGQ2isbAQMoOdMD7xFXrweeB25mfL5q7RONOE+G9wsx+Ngxsf6q429jIlEpgczsU0p7TOZOV60+SQ3jKrGXI9HGvjq6yUdUF9vT8tAxl0yCpKRligHlTKqrLQoF6Ij3G4hHnpIiPJyebyrSwYglZTIeomKAmQZCjDzeGRZajNRQrGCxZzuW7RAstkG9Tk6Hee/k2gZSu/gRJtR2WXLhFi1yk7p0HMpKbGeWVGRfEZkwAeEWLpUBn51dFj0HyBEcbH48P+pF99+Xhp8uwJdZqAWBYDxjWiaxv2NwveSzzGIi2id6qerzWOpYNydqjZcbT4LSJD2mXEhH22bUuE/maed6MDR1SUFQnm59aKq+VyY94ZNuBcUSDuBzycHCvLaoe+87dy7pKTEKuPz2aNzOzqsQYgLDxpkYgn+RAQ73VPOiU9mkJ0JEpZ78qjcvlNZepZpafbnonoEKfl6RFGREI8+Ks/v6LBHiPP+UFhoKQI8+prq43aAsYGGPHrQBCnc9zeK+ufrReVTlSb3L0RsjxieA4iOp4IHzVS14Wri+4XQwj82EjFKqhpgNKNnNA2RGwxVg6ya1oEGgc9/PnIgoJcfkIK7qsrS7IWwBMGCBfY6yeBImj1P1sYHpOxsa8CgtkYzZPOkcdEMndFcRseL6VbHuMDmifD49dV+EwhYwnrBAnkfSZhTOg+6V2piPXVGxY9zgz79T8+Irq8m+ht7Xv/we0XC7ZPpHshVk9w9udBUtWjVvVN187yaNf+rDVr4x0IigoXTNk7+7KqPvqo508DQ0WEJe9qI5ok1GJSXy/MffdTaRz7ivB2qVqnOAEiABwL2gWTpUqstNBOor5f18tkDCRoaTNTr8vrHQxPFw3SrY5yqod9GtA21h8+kaN8tt9j7AafyiNojWs3nswZ1te+p3liNjULk51t1V1TYPcX4AF5cLKmnsef7l1UQ9c/Xm9p7VVuV8O7yio6BjqjCk1M9ydSutcCefiQq/OemwZf7sUcDX+HKyZ+dHwekEfCpp+z5e3w+4EtfsnL4VFZKH+5Dh6Svd2kp8MorMr97b680+H3wgVygpaNDGo7z8+W5BQUyLQR9v/lm4HOfk54++fnAqVPymNst2/A7v2NF6dKCLhcvWu11uaTf+Ne+BvzVX8l9Fy7ItlPEsMtlZRf1eKJbxKIt9jKZtA6xzk3megBU1623WjEPPOMpYK3ARnmOHn9cRnXfdJM0yBPCYfl8AeDkScvbZ8sW6fmUl2dFfqs5kGprpQGerh8OA/NYAL4QlpGfp5DIzJR954MPzP54e7EXP0lzob2nHZ4cDw72y/Lp89PR3iOfkWqw5cbeTddvStq6uhNJy5CKyz2kYpsmjURGiJnYZlzzTwRE/dTXW1oZz37JtfvKSlmWNGgyENLxjAxh8rz8HJ4FVOWN1e90LhkMieZROX6+5eVZ32nmUVRk0TtqZk8nmkc1cE41kkkJ8bbzOunZ0jP0+axnS2XJhsIN8PyeFhTIrb7eupc8EpvqbW62x3nw2VxxsdXHAGkwLi8Xoqws8hnSsw4ETKrHt88nfPt8EZp/NI082Zr6ROpL5uNN1gRyNhmFoWmfGEjEayWR3sKpHydO3OeLFAxk9CUDLGA3GNJLzOvs6pKePIYh9y1ZYlECJLCrq+0GYb6Vl9sHC0CeT+d6PHZKiV9XTUPt1Puj3bNkU0HJrEOtSzVyq6kzuLFbTeHA66L7xL2rVEqID/yqnYX6CKV2rqy0G3lVCpCCBXn6jYBduDsZSqMZTxMxqkZL/5DwLY8xIMQzpY23XDL1vNliFNbCf6IYb34finTlrpvcw4M0Oy7s+ctPAnjpUimQ6+sjDXrNzZF2A9LQ6+stvpdy/asRo1xLVIVHUZH8TgOH6kHCBR61O5o3kPpmON3LZKtQU/VWJmLwj+UZxZ+32x05MFO/UO1E6upeNHBQP6MZXUVFZGQ4t8OwtjsJ28lo/pO1D5jnf6M5ZtqkaODlYpVNdIC42qCFfzTEExaqQE+059BLSFQNCVeieVTqhhsGuUCg3rp3rxQeDz8sy5Jhcd48K9kb+YyT8ZbPGpYtk7MFr9da8rGoyLoeCR+uedL38nJrdjImmJ6+5RZRCAgDEIUZGeJp/tbFin1IVPOfqBCfyvl4In0lmrTi8Rd8AKD7T4Zy9Vp8GU81lkN1G1X/V1NRTPK+xBsgJqP5V3+jWcAVcNQLorGLajnym4i3wqY6OUu0m0Ub31MdWvhHw3g9fRJ5gQIBS+gWF9u1N/KgoZe6vt4uWNUZAdfquSaenS3EwoXWca6hp6XJVcAWLxbippus/cQF19dbwV7cA0UIS6Ovr7cGCcWz5+kHHxRyaQ9rc6Wliaf/8R+t3z/Zt2OidoOpnI/H6yvcQ0e9Ph179FFrhTZuM+josOdHUmMo+LW5rYCrs11d8rnxNZ15LICD4jIeDn4q/eqdmscfJX0nnYqPlXQsXjyhk0c33dZ4YRy8rOr5nOqY28J/spw+1/6dNH+1Duol3HhKAp2EvRr9Sb2felZenhDPPGOVpen9tddG+n0T9x9rI42Tu2mqVBL9FnVWwmmsri5RmJ9vE/y0FRYWRt6zic6xE53zTyfi9RXV3ZWfo9I4eXnWgB9tJsjvHdmMaGB2kj5cSVGXEHWSpAFn/j/qz5+k8Xc8bKCKRARvvNfcKfO2U07DeO13GoBSGXNb+I+XCkiEinDyblE9Q/hUnV5+brzl53MOmAYNzvH6fHY/b0CIFSusYK6MDCEWLbKO3XKLnHUQ1UOaJaeVHn1UtmfzZqutRE+tW2dFFnMDb3W1MAzDUfgbhhF5z9XfOZ4BeKJafKLnTdV1OS/A+wZJDbLXcC6eMrdS0J4TP0H9gYy/9fWR11dncgTeDvZ9Ovzu42nmidAp6tLXE2UDaSLp9MqOl/7RtI9TJcCdALoB9AD4qsPxhQB+OHb8KIDr49U5ZZq/E6INFlFeoJhEJNfgqPeTYZa/9MTTL1ggxN13yxd83TopmGnAoNS+OTn2oB51I46euxAWF1tUAJWh2YDqiUJtdNL89+4VhQsWJKb5c0EUawBONk+faH3xnnMiXEC8evkMiNt9+CxApXa4QVelgUpKrOdI9FKi7jBOissUg2vc8W6n08RJrWOiXUT9yZOZmGrhH13wzwfwNoBiAOkAXgPwCaXMHwH4/8a+Pwjgh/HqnVZvn2hPNxrXGm+eyV9o0thI4Kq53dWNKB4S1EQXOKWJAKQtgAYGNXaAtoIC+9oAmzfbZwSAnDHQNXkUanW1eBqI5PxdLvH000/b70G8AZLuU7JdMJKl+SfCBajgOZNUGnDzZmvFNC7MeXoIPhvgz4MkZ0eHfFZVVfZBNZmDZxIxHtNNNOHvpEeNx/jqJPgn+nh5e1LwdjtiOoV/OYB97P+vAfiaUmYfgPKx7wsABAEYseqd0cVc1N6S6NwxELB7z6jBXmT4I4FMXjvLl0vffVUYezzys7JSfhYXC3HffUJcc42d9ycXz6oqeRwQIj099iDT2GidR9opDTZ80BkzCD/t8VjePkuXWsZeDsoi2tER/d5Ge5NSQb2aSBt4Uj21Hh470dhoo9IiBgqu/fOBkZ9DdUejepL92yYAVV+KdcnxjMWqqSQRe4H62vKZiNO1k80KzhSmU/g/AOA77P8vAWhVyrwOIJ/9/zaAXIe6HgNwDMCxgoKCqb1DKpw4fb7OKqdy6Hu0XqX20I4Oq57iYnvQF6dg5s+Xn/n50WcIajAWIP34qR6yCdAARN4gNODQYFFZaY8mLi+3rsltEJy+4r7kKj/NBzkSVNHus5Pmn0rq1XikltOAR8dpjeSKiuh9w4me4eptLJeV8dyrabq/0ZjSaEjUNKTemniZx6MtsxxrFhCrvbNpAJhO4f+7DsL/20qZEw7C3x2r3mnX/J0oC0610NzUqZzak3hP4dGgvC5u0VKjb0lIc0FO29KlUniXlVkzB+KE+XVuuSUyCIi+84GFuwnS4BItII2320kY8RQIidzreKrYTCHW7MSJu6djqvLg5KoS63cmqt5O5F6NhzeZBMZrakiEKXSqn0/KnR5FNGYxlnknlubv9ChTdcVSTfuMF05Pnke1xrIcRSMZueDPz7f4fDUa0+eTwpyoH8q5v3y5JZSXLJF+/E6zAR7hS4Zlqp+EeGmpNBw//LDcqC0q30zZRPmAwIU6f3sop9HeveOb30+WhI5vY4MAACAASURBVJ1qxJudqNQNP8alWLxI6Fj9Jp4j/EQxyRnAeAR0Is10MntwHUq9DdyMxr2BEslEwkNaEjU58VmEKvxVRi5VMJ3CfwGAXgBFzOB7k1KmXjH4/ihevSm9gDt/gZwGCFWD83isoCzy4CHqh/uB03Hu8cM3OpfbDiorI3MB0VtDhmBuT+CzCY/HUtFI2HMqiGYGRDXxAYAPGJzvjne/OFJJ21fh1OZYfHsimrVaZyxB7KSiJoO6meQ9T6QJ420mdSW+Xg2vh+soasiKmmuPL8mgCng17ZI6Tsca753qm/Oav7wWqgG8OUbn/PnYvq8DqBn7ngHgX8ZcPV8BUByvzpQU/k4vuFOSESpHC3sQbeJ2C7F2rb2nc+2chDunf/LzrcRv3CZAFA0JZnIdpYhild7hG52/ebPVg/m6AeQdxHMC0eBFv7uxURqhly2T9ajz/PHO/5P9jCZ7rWj1xJNs6vFY90T1+eeDijo74urxDA6WiTzWWOOg0zl8kqqugUO3hTux0f80AJAwp/1qmi26Jq1myieqqp42HpYuVTG3g7ymCk4vvprwLJpBmGv5tI8ELwV8lZdbfD9PtqZu991nz9kDWJQQrSZVUiLEt74lhXZBgeUdxNM9e71Wr1fdPJ0GD9V9Qh34+P1JhpY6mWc0VemlnaSBKhETiXdwuldOHAL1EZJ+idzPaZJY0Vw1CU4/3emcQMDuNMUnPDxUprzcEu6kP9ErxXPn8Qk3Lx/LVMNzKfLXdzYJfYIW/lMB0taipX3gVIjag7g2ThQRn+/y+SqdT0J64UIh1qyx6qbc/04bzy3E6SFAJoWjgYWEk5qvn/LFeDwy3QTRQOXl8bnpWJrtdGr+44kQisfDJwJVyqkunU73SPXooUhfNaQ1loUy0fZMEeIJfzVKlwtYHstGt4Dz8VzAcz8GMjVRl+QzgrIy63pcL+HXjHYL1ceU6AQuFaGFf7KgPmmViORleE9Uj6mWqEDALujp+N69Vg+mWQBgcfWcs8/Pd07XzIPKiEoizd9pGUF19qISqPQGJdrzVcpiunP2jOftjMbDj8cTST2uksG8Tqd74TQLoIFjIpJmCqRTrAlPPHdLp0+uJzmZQPjA0tVldVuuE5FA52sQ8Yk2DTA0GDjFatJETX0tor32MzmpTRRa+MdDPI1PFWC8VxDP7vPJfdwqxGcFqhbqNBDQTIDUGbJocfdPntht7VoZ1QvIXk+BWjzoq6LC3vM5fcMXl6HfygctbhVT8wORQHTq+U6zHCo/Uc1/OlSsaM+du7dO9G3nz5tLGJWSUtXKaE7qM4hYt8DpGB/DnHzyOTvGE9yqAWK0j0+I+CvCvZefeUZ2WzJfkabPdRC1q6t+C4mM7ynySKJCC/94iKfxcdVDfdKqe0I0/zKqUw3p54Kfa/FEyXCNOzNTiJ077W6ea9daFI7TIi+0Uc4fGliI11fbSjMQjydS81fpqXgO1OogF2ueHe8NmkkViz//aG9+rN+gCnE+qMaTMNESxc0g4v3UaLMCvk+dENEt5t1PnTRzYy5nyWhA4JNn9bXidA+vRy1DiXdTzWtnotDCPx7iafqxOFanstH8snmWK679lZTYDbqrVlk5XCifCx3jswAS+kTpbN4sB4NYdgDursmX/VNpCq6COfnDxfLLV9/seNx7IkJtJlWsaNdOdP6v0jeJ+AU61ZfCauZ4zCVOgpy0cB5cTse5zsGXoeYTcK6jkKmquNhKpaR6JauzEKcEdCl8uxOGFv4TxXj43VhCUZ23OqVwbmy0OPuyMktAkxpCQp9ITqJ2Vq2yVuriQp7SNZPbJw8SozroGA0AnB6i69HAw2csTveGE6j8Hqhv5kQ1//GUmy6MR/Mfr0RJQcfxWOaMaJNnJ7aKjuXl2ZcnUM1KXJNXvW+ou1JMJHVrbkimjRuhnQzP/JN33RSZaE0KWvg7IRmCJJ52pg4IqhcPRcRWVUlunrtr0vfNmyPVGhLMxPfzOm+5RQ4G991nX+GLL++opoRW1/klSojaQXXTd6egJv7mOkUBJ8PdMhXfxvFyIIn+hhT8rWqT1DE9EV1ACLtTGde0uZcPrXKppr4ioc35edoKCyPXxeGzByGs87hupc4i+OubAuEUk4IW/hyJ0BaxzlV90lR6w0nF4cZO1T2UytBGrpekEvHwRbomCWuK1i0vl5atoqLIqFy1br4yGI/2peAx2pYtswS5+qap/uf0G9R1Y5NtpEw1zV+I8Vs/E7GB8HIp9Ftjaf5OZUnAUqyhk+bPc+BxPYELbp5TkWdDJ/8GSlpLMZMFBfKcRx+1zqPrcz2G2hZNwEdjKxN9hKkALfw5VIE8nien+qRFm+vGcs3j16eBoL7ezr+rAwZXjXjqh2iaO1E+tJ8+eSQMp3ToDaE6ydjLVSAaNGhReo7xEL5XGxLR/J2kRDI1+xS831yn8Xqt/dSV+Mqi6kSZHKIqK+3ey9T16Vw+8c3Ls0+c3W7LO5rsBFyPIt2K8gI56SrRJq20n5vCUhVa+HNMZi7HXRKcEoCoqoLTS6nOPDidwwUF93Wj86i3ZWVZHD8X/CtXSk+h8nJ5Pg/QUm0NPOqUrkVxBbFoHd7WFBI2KY2JzADGI9BTgCJSm0tmo3XrnFNdcaEc7XXhZXNypCZfUWFfHptPWknAc2c4j8fuL0HUkZOnT6KT1kTMWKkCLfxVTPRlcVIL1DqcyjjNMojgJAqG5shknVLTBFKvJLWHVKL777d6sJqemQt6rulzElS9H6pQ4q4Qqo9ctHDOePdutmG8vP54ykTrR+Ppoylwb3kUrhCRwpVz6k6RvWpKBSpL+gtPN8U3inMsKrJ+/qpVlo7EhbuaCI4GEW5c5gHvKiZit59paOGvIhlPbjwvvZN9gfPkXDBTz1cXBqE6cnLsi7JQdMvYGrsmV19WZhGmnOB00jajzXXVTzqPJ0hJlLOeyICbKm/YeHn9eEhEiqTKb08QfNE6IawuQt2QB2upcW6cQaUBQzXsUtmKCku4L1liLWNRWCjL7t1r0UFE+6jrEHEKiGdU57qTagCOlR46laGF/0SRrBcwFv0TbRkiLoSJYiKKh94ObvWiXqkm/1I5fif3CwJP7eAUTsnbrtJbKgWmCsWJuC6mAJ0hhJi85q/iKuT7Y+XuIZ2GC1/SXZYutedB5KEvJNSp21PXJBMZ6Uuc+SRtfsECaQCmnD+cpeVt46Y2J53GSReaRTZ6LfwnjOmYeidKLJLaQ59cS6derCYp4RYzTgM5ZbXiNoXqavtvdxLcTk7eTirT1aD5JxvJ/F1TMEBOpHnqJFc1MXFtm3Pw/LjPJ3WZwsLIZSyys62VMPnm8VivBXlO8xyG1O2dNH01SZyTPsYHjHj3JFV0FQ4t/CeKZBndYnnDqHYBtcdx11A1FJEEPM8H9Oijzrn7aYUvetNogODGa3qD+BxdHYTU38sTp8cyol+tgpwwU79vCq47EZ2Ha/VO6RO4Vk36CPkmqBNU2vLzrWUrSJtXywAykpc0/EDA7g1dUSHb9/DDkbqPk52B//5EvHn4pDcV/SCmRfgDWAbgpwDeGvvMcSizFkDH2Dq+/wHgi4nUnTJZPWNhPEY9ldJReXSuRavGWDVyht4uon9Ut08+M+BqDtfWucXLicd30vz5oKA1eruL7izHeMwQ9LPJZZK6MXUX6lbl5XLjYShFRVYunY4Oee7ChZFdlw8AJJRzcqTDG6WzUpeZrq+3PJP37rVnPCFdhZbJ4IKb9CB1phCtqzpNelMJ0yX8mwF8dez7VwF806HMxwDcOPb9WgDvAciOV3dKCf/JzIm55p9owjQu8LlLBSdOAcu6tXmz7PHl5XaaiM9/yddt82Y7earm8FFnIE75iibiNpuK8+PJ4ioS/hxOk1T+2Lj3M9crqOs6afSAPeCcC9lbboksW15ud98kn4aCArtRV01pRd2ZB6xnZEQGuPMlNHgQfiKunxN9BaYL0yX8uwGsHPu+EkB3Aue8RoNBrC2lhH8igisWzUNQY9xj9SAS+qQ28TeKev9DD0WuXkG9mrR+j8eu1rjdluBX/fe5SsM1fLUcGZ7r6xPv/Vej5n81/iYROfGM5reghqUIYQlOrqOQgOYBWpylVAeFnBxJExFVlJMjxN13y+/k9eO0Ef/v9Qrx8Y/LfXxWwWcgfAlI/vpEm2zPJp1luoT/sPL/UJzy6wG8AWBevLpTSvgn8pJHo3l4r+HEIqd8nAYALuy59w+fDahOzLxemglwzp9HyqhJ2+h3qpo/nwvTZyz/uKtMEM5FxMtgQnAaJJyWWFQFP5mc+HHy6+caOwl+rvnn50u2kw8YS5ZYAwyf1NJ1iQriS2ZQLIHafjXZWzwdLRWRNOEPwA/gdYftC+MR/jQzAPDpGGUeA3AMwLGCgoKpv0vJRDw3TirDjbex+POuLivFczQhTdp9WZn1lvBVvHggGFnFeORLIj1bfavpGqrmPx7jd7R904U5NlCN9+cmosfwerlPAnW/jg55nLogUThlZVY7urpkF163Trpo0ppFRUWWsC8stM8i1FlDrI2yn6tt4x5JNBCoSy5zKmu2MZYpRfsAWALg1wB+N9G6U0rzHw+cegp/+9TvJHyd5tDR6uKCX30TnJKZUAim2h4u0ONp8KqnEC8bzT4Q63fM5Bs1297mSWK8P9eJwVRzE/L9vMvxzJmBgD1BG9+vMpF0fOFCWcfevVbXpoGAZgIqf++00UBCmU7y8iwaifs68NeHm+LU3zmbdIXpEv4tisG32aFMOoCfAfh/x1P3rBT+0SxB3NNHHQAI3OpEx/j8W/Wv41o4vXGUgE0daKL5o1FdFAgWL6QxlgdTLOmiNf8ZRTJ+rpOHi+o81thop1Z4VyU6hrRs2s/98/lGaxvR/wsWyBkC1T9/vj0pLfcOuvZaixZau9YqV1TkvFR1ZaVdp5ntusF0CX/3mGB/a+xz2dj+dQC+M/b99wGMAniVbWvj1T0rhX+s+TEXkE6DAWnVfO1Yfg4X1NyFk2ihWG93rBkEt2qNdwGWeINLophjwni2gbqKutyhUxfi3ZbMTuXl9pATGizIbyHWInSUyoFmCJyyAWQdZE9YsUJ+UrpnvujdvHlWrkPq4k6Tbfpds7k76iCvmUC8ZOdcI3fi/jnJyAUydwslGofPV3kEC++1avw9nw3wQSaaEJ/oWxCLOopnOdRIOaiunU5eQCqDySNp1Y1SU3H6hhuE+caXnwDs6Z6zsiwvZ1XYO23UJvJ7cFqpdLYKfA4t/GcCqhCL1aNUIe+0ZKKT7z9P8EbRLqRC0VtA148Vpauulh3r93Drl9p+p4EimjCPZzm8Gt68qxDURXk2ESdPH3UC6fVaXZQEPJ+0EmO5bp19xVFarZRv11wjYs4S+GCzaJH9WHa2NWioeYTotVMn44TZ2DW18J8JqD0llvHXKX1yIsKSE6Y8UgWQrhF8Xs7XyOODSKKJydW3OpbBlg8U0Yy/s/FN0ohgLYVwTvNE3ZFPNDs6LEe0oiJpyL32Wvn/2rWRJiz79rQACgVgCMMoHPvfOr5woaR6yspkF3/oIXktWt2L+/Xn58vPhx6yVlDlulJXl7M+FG1QSGVo4T+dSITmiKYeRZtzRjMecz9+qnfzZvsqX05CmvfgaHXHa3simv9sjIrRiItYeo2aVNap+6krcnF9hQKx7AbcpwXgEgDY5jIHACeKh9sUKivtsw4S/uQFRDOT5uZImooLf6eBL9Whhf90IhY9Eq3MRNwjowltmg0UFUVPx6CuHRBPpZkoD6+1+6sasSauPF6RypGb5be+Zef109MtwyzfZwn2QkXw01ZoS/tAid8qKy32s7jYeiVIJ6qosA88fP0ASpG1cqXzoi7jNWHNNLTwn04kovU69ZRYAjbWrEEtry6p5AQ1D008lWYiPTtV3waNCSFel+VdiGcG59G7RPmoGr8auBWZvdOIIvwNsXy51OTJnZMvjpeRISfCXJunT3I3pUyg9FtoNkBtSDRVU6r6KWjhPxMYr/CLV14V+tFmFuOhZcZrzYpH/3Ck6tugMSHEMllx4UkCn88ASIiToba01MrLk5EhVyIlOkb19Imn+fOy5KOvUkA863lFhTUriEbpcMoplg7Fkaq6jhb+qYSJ9hKe9XO850ebDUSjjqINDk7xCdGE+2TehlR9k65yqDTOeHQDddVRKs8Dx/lWWmrRMJyzJxqHJ20zjNicvzqDWLtWDiI8LkAV6kT3qMtLNjdHLkIzm5Go8F8AjcQQDAJtbUBdHZCbO75zQiFg2za5z+cbf/0ul3VerHLBINDaKr+/8or8PH7cXqa11WpLVpZVb1sb8MQT9ja2tQHt7UB1tbwegX9PFpyurzHloNt+4IB81IB8vG1tQE1N7HOffBLo6pKfL7wADA4Czz4LnD4NbN4MuN1y3+7dwIULVlc0DODKFaue8+eBhQuBtWvl9wsXgNHRh8eO/jmAAQAFAL4BQO5fuBBYsQLo65OlhoaA4WHglluAjAy5f8ECYHRUfl66BOTkAD09wJYtwKZN9u4WDALd3YDfL183QrTXbSLiIOWQyAgxE1vKaf4ToTTG4ycfb46dSJ3cs4f87lTrFY/YSUTzH482PhnaR2v+MwIeBxgt4JseizphVDV/7sNPmcSJblm40PK4UQ296sbTMDt59ajaPGB5E9GyFzQbKCqyXD/XrZPd/plnnDOSj+d1S2WGE5r2STKSbQBVe0+i9cfyqxuvC2eyoQX4rAPvhk4OaVzwk6BVQzvof1pHKCMjMg2Dk+DOzrbn9nG5JPVDaRq4zYAMstnZMre/06BQUiLjCLibJ3f3pN/Gk94mavJSfS1Suatr4Z/qiNV7VCHuZGVTNftU7o0aKQvOfcfSG5wmjGqX42amri67hw/n85culQMFDRZckBOH77S0Y6xZAtkSeNYTvropfefpJ2iAijbZHo+vQypBC/+ZxmR6C6dvqqudV5ZQVZFEaaOpwmx6OzQiQN0n2tpCifi6k87CF3KhdMyPPmpp4UQPkXsmaeKLFzuv1KUu6h6LNnr4YYtqos3tljMCdTYTz5V1vNROqrwCWvjPNCbLf/OE56Tlc6onEVdOPo+nbbIZOKMhlUlQjbjgjl2JPEbVs4e8aLjewpPUcnfMhx+W19q8Wf5PMwAnnl+NDwCsNA5Owt/jseIZFy+2Bh/q/jw5XazfFUvbj7ZfDaWZKSQq/LW3z1SBPGIm4hmTmws0Ndm9hdrbgZtukp43NTWyDLkpNDXJ8xoa7K4HdG3ubdTZabl1JNOrZjK/V2NGQd1s+3agrEzuUx8j924ZHATuuUd6+lRWyuPkRbNrF/DSS9Jr5p13pCdQXh5w663S22dwEDhyRHrj5OTIc9PSgKIiy3OHPIFycmT5nBzpzQMAFRVAZqb1f0YGcPGi/L5kiWzHyIj9nJIS+UmvQGWlfCWCQet14b+PvxZOr8hV45iWyAgxE9us1/yTiWhWJyHsqlYsdWaqNX+NWYtEJm2kwRcXW5q6x2PX/MljyOezuHuv137+ypX2oC7K0llf76zNq4u7FxVF+vLTVlUVmd/H65Xt8vksOohoJ6fXKJGJ63hnBPGOJRvQtM8UYSYDmaK5Y8bz8NHQiIFEGERO21C2TJ4mgUf4Ek/PKR7Kn0PCnqdt5ukZJrItWmQJdvosL490y6Stvt55mYupfI2mkxWdFuEPYBmAn0Ku5PVTADkxyi4BcBpAayJ1p6zwn8xTTHYPSBULk8ZVBadu2tVladX19ZGDhZrLhzb6nxZlIdfONWssYa26hXLjbnm5lYufBpRoG7cP0HrD5PfPN77OMGDlNpxKAX3Vaf4AmmFfw/ebMcr+HYAfzHrhP5OavwptZNVIItSUB/HcHVU2kgv8Rx+1r8HLN1pAhbR9vjoXn13QktRUz5Il9sVcVq2yNH1O9xQXWzMNPrtQ4xX4chixlqGY7P2cbt1suoR/N4CVY99XAuiOUu5TAJ4B8OVZL/xTCVrz10gSuLcP1yW4f7+65i0POVG9crxeS8OuqLCSrPGUyeSTn5Mjj2/ebNkDSJinpQnx8Y9HDg40CKgLx8eaHXAPaRoMKAOpkx1gspgp3SxR4T9Zb5/lQoj3xgzH7xmGcY1awDCMeQC+BeBLAD4bqzLDMB4D8BgAFBQUTLJpcwDk8aOhMUlES+NE8PuBU6ekh8/ICHD77dLpLBQCDh+WXjkeD7BhA3D0KLB8OfD978tzN26UHj81NTLPz+7dQG0tcMcd0iNncBA4cUJ6Gg0Py3PI82d0FHjjDenlc/o00N8v9z/0EPD++5bj2siI/Jw3z97u/HzZbkJDg0xpRTl52trkbwPsvz0ZOX2iOcClTF6geKMDAD+A1x22LwAYVsoOOZzfAOCJse9fhtb8ZxZ6tqDhgGjdgjRjn8/S/Hm4iapJk7ZLRuH8/EiOHbC0/spK63t9fWRufZXDp3ooIpnXqRqO1TiDRILpCVOZ02eqZwRIFdoHwPch0/K9AyAI4ByAv45Xtxb+U4RoPU8PChoOiBc4zgOb+JLRqvcNDQR8XV2eisHjsSeG49w/HefeOU7xi3xwoPZMlMefypw+U/2qTZfwb4Hd4Nscp7zW/KNhuoRvtOto47GGA+K5gXIjMaVv4Ly9Gr0LSCHPvW5oKyiwxwC43ULs3Gnl7aGYAa6tczuEapyma9fXJ+/3Twcme83pEv5uAD+DdPX8GYBlY/vXAfiOQ3kt/KNhpoWv1vw1EkC0bqr60nOtn4y35PZJmjmnZvgsoKzM+p9nAS0rs2v91dWWJ1BlpTM9Q4PIbOrWkxUF0yL8p3Kbc8JfC1+NWYBomn9Hh7Vc4i232AcBCqrau9fO7/NAq44Oi+9fuVIOGBTdy/3+KbCMuH4e1EXHeXt4Ns9kvV5T/arOCs1/Krc5J/xnI/SANSfg5P9PIC2V+/SrRlh1cRhehq/7S4uukBsnCW7us+/xRPrrl5RYSeKoHdx/nyegS3RF1Fhde6Yn6fGQqPDXid00Jo6rJsOVRiyoSz0eOCATuOXmSvfNAweAQECWLSqSK4Xu3i3/r639/9s7/xi7qyqBfw5KS9qN2tKiFR1p01pFIVRnqwFbCj7EraaUiGtJTMapbFfZ7j+rozVohmqMOA1gtH/YKjsMSwJoV+0Y2rAdfsbYFmqQRaGlQ0m7XbrQEVgjE6uW4x/ne333vfm+977v18x7884nefl+3733e+95d+6c773n3nsu3HYb5HLwta+Zb8L9++Gcc2DRIjuKMZfLL7cEc9Q2fz7ccQfs2wfj43DhhbBzpzluGxy0JZtgy0xHRvJLPS+4AD7+cZNr1ar8csrQTB99FB5+2O7LNdlyTXu6+DB05e/UznT5L3DKEv684UzfXbtMOfb1mZLftQuWLbO4yy6DpUvzjma3bLEPwIwZtpb/kUfyeR85Ymv4L77Y+vHve58p640bbf3/9dfbmv+VK/N7CY4etfwPHYIvfCG//wAKt77ESjucy7t8OXzsY5WbbPybt2wpXJM/XbbXuPJ3ame6/Bc4ZYn/zEND1rM/edIU8Pi4hYfNWceO5Z8bG7NNYH195s551y5T/n191mM/ftzS//KX+WeuvjpfVk9PfrOXSH6EMDqaTx8Ufy5nm8nCiCCWYXDQRiCzZ5syHx7O/pu3bJm+g1tX/o7jZCb0fkNvvr8fBgbMX/83vmFnAsTHUGzebL31K6/MK+fBQVP4/f328tixw5T84sX50cXYmJmIXn7ZRgzbttkoY2Qk7/t/8WK49Va4+WYbbaRRbL6pVplP58GtK3/HcWoilys8P2hoqFDp9/fbQSoHD1pvvb/f4lesMFcK115rCv2558z+Pzpq8wOzZtmBMHv3wvr1Njr43vcsvL8//xzYnMDISH7OYPbs/BlHcVnhpVKtMp/Og1tX/o7jTKCc/5li00og9LJzOVPSGzeaot640eYExsftpbBypdn93/Mem4AFOH3arvv3F84J7Nxptv6g3AcG8r38zZtNMff1wS9+YSOEoOS3brX4YCpatcrSTWdlXi1nVE7iOE6nsXWrKfKtWyfGzZtnPezNm03hB3p7rZc9MmKKvqfHwu+6y3rtQdGL2DVeeXP0qD37gQ/Y964ue0nceacp8PXr7RqUe5hrGB+3+YS9ey2vYnv+smX2IgrHNjaSsTEzIzU638nClb/jOFXT22u98LAaJpyHOzRk4WGCd+3afC/84YdNwW/bZmmWL7e8Vq40BX3LLfaSuPRSM/XMmAHd3bBnj5mPRkZMuY+NWf5gK37CqCCXy5tzNm60Mr70pfyLasUKS98owkgnfgG2FVk2A0zFxzd5OU7jybovL2u6UhueDh60zVfFztfi/MLRj7t3m5+fc8+19LE/oP7+ifKkefcszrvYz0+QJZdrn52+tYLv8HUcp5hmniSa5SzgODwo8djzZ1D+YQdwUPBxPrEn0ay/M7xoYnfU05Wsyt8nfB2ng8i62iXrgSPz5lmaeJXPq6/mD0xJm1wtnhi+/XYLP+MMeO01s9PfeKPNGQTTUdjE1ddXeCBLKZnXrLEVQydPWvjSpXDvvXY/f/70XLpZLW7zd5wOIqx2qXSCVLkJ32LitfQDA3YtZwuPJ4Znz4a777Y1++9/v8XPmmXP3nKLvSAOHrR5gDBpW+o3BJkHBuwFMTJi8xGxHFl/fyfgPX/HceoiHk3Mm5df/fLqqzbBOjxcGBcUe+x7Z8MGU9yrV5vyDy+TSy4xJX7mmTaqCOv4ofTo5PHH0yeBnUJc+TuOM4FSppViSingxx4zk024BlNQMA1BoUmo2BwVlx27ZYjlKd69G2QOZwWH3+G9/BJkmRgo9QHmAnuww1z2AHNKpOsC/gt4GngKOK9S3j7h6zitT9oEcnzYSpisLT5isdQKmUoraMpNMDsGGSd867X5bwLuV9Ul2Elem0qkuwPYoqrvBpYDL9ZZruM4LUBY7x/3yEPYVPSdHQAACRJJREFU0JBNtIa4sNt29uzSvfFKa+fjeLff14fYi6LGh0UOAatU9YSILAAeUtWlRWnOB7ar6oeqybu7u1sPHDhQs2yO47QGwZlaf3/enFNKYaeZkeIwyLYKqVRenYCI/EpVuyulq9fm/2ZVPQGQvADOSUnzTuAVEfkJsBAYwQ59P11n2Y7jtAG9vWbrD/fVKH6YaNvP6pvHzxoqT0XlLyIjwFtSom6ooowVwDLgGHAPdpD7bSllbQA2AHR1dWXM3nGcVib4AgquFkop4lhZh70Dvb3pexOy9OrDKWPBH5BTSEXlr6q5UnEi8oKILIjMPmm2/OPA46p6JHnmZ8AHSVH+qrod2A5m9sn2ExzHaXWybC6L01Tq7af16otfCMPDttIoePR0CqnX7DMM9AA3JdedKWkeA+aIyHxVPQlcDrgx33E6iCyulOM0lV4WafHFL4TpfBBLI6h3wvds4EfYUs5jwCdV9SUR6QY+p6rXJemuAG4GBPgVsEFV/1Qub5/wdRynGjp1greYrBO+dSn/ZuLK33FaF1e0rUtW5e++fRzHqZpG+7Jv94NR2hF37+A4TtU02p7uyzInH+/5O46TSrneeKN316adDFYLPoLIjit/x3EmMDZm/vQn65jC8DIZHq6vzLY/WnEScbOP4zgTGBy0NfKrV0/uUsl6zUm+vDM7vtrHcZwJ1LKax1cAtQa+2sdxnJqpxabvJpf2ws0+juM0hHY2uXTiqMV7/o7jNIR29q/fiaMW7/k7jtM2NKuH3s6jllrxnr/jOG1Ds3ro7TxqqRXv+TuO0zZ0Yg+9WbjydxynbcjiGtrJhpt9HMdxOhBX/o7jOB1IXcpfROaKyB4ROZxc55RINyAivxWRp0XkuyIi9ZTrOI7j1Ee9Pf9NwP2qugS4P/legIhcDFwCXAi8F/h74NI6y3Ucx3HqoF7lfxUwlNwPAWtT0ihwFjADmAmcCbxQZ7mO4zhOHdSr/N+sqicAkus5xQlUdS/wIHAi+dynqk/XWa7jOI5TBxWXeorICPCWlKgbshQgIouBdwNvS4L2iMhKVX0kJe0GYANAV1dXluwdx3GcGqio/FU1VypORF4QkQWqekJEFgAvpiS7Gtinqn9IntkNfBCYoPxVdTuwPUl3UkSOVhBvHtAuZ/a4rM3BZW087SInuKxpvCNLono3eQ0DPcBNyXVnSppjwD+JyLcAwSZ7v1MpY1WdXymNiBzI4re6FXBZm4PL2njaRU5wWeuhXpv/TcAVInIYuCL5joh0i8gPkzQ7gGeBJ4EngCdU9ed1lus4juPUQV09f1X9HfDhlPADwHXJ/Wngn+spx3Ecx2ks7b7Dd/tUC1AFLmtzcFkbT7vICS5rzbTsGb6O4zhO82j3nr/jOI5TAy2v/EXkk4lfoNdEpORMuYh8VEQOicioiGyKwheKyP7E/9A9IjKjibJW9HUkIpeJyK+jzx9FZG0Sd7uIPBfFXTSVsibpTkfyDEfhrVavF4nI3qSt/LeIfCqKa2q9lmp7UfzMpI5Gkzo7L4r7ShJ+SESubKRcNcr6byLyVFKH94vIO6K41LYwhbJ+JlkSHmS6LorrSdrLYRHpmWI5b41kfEZEXoniJrVOC1DVlv5gG8SWAg8B3SXSvA5bUbQIcyPxBHB+EvcjYF1y/33g802UdQDYlNxvAr5dIf1c4CVgVvL9duCaSarXTLICfygR3lL1CrwTWJLcvxXbTf6mZtdrubYXpbke+H5yvw64J7k/P0k/E1iY5PO6JtZjFlkvi9rj54Os5drCFMr6GWBryrNzgSPJdU5yP2eq5CxK/6/Av09FnRZ/Wr7nr6pPq+qhCsmWA6OqekRV/wTcDVwlIgJcji03hdL+hxpFFl9HMdcAu1V1vIkylaJaWf9GK9arqj6jqoeT++exDYcV94o0gNS2V5Qmln8H8OGkDq8C7lbVU6r6HDCa5Ddlsqrqg1F73Ed+Z/5kk6VeS3ElsEdVX1LVl4E9wEdbRM5rgbuaJEtVtLzyz8i5wP9E348nYWcDr6jqX4rCm0VFX0dFrGNiQ/hmMuS+VURmNkPIhKyyniUiB0RkXzBP0eL1KiLLsV7Ys1Fws+q1VNtLTZPU2f9jdZjl2UZSbXmfBXZH39PaQrPIKusnkr/rDhF5e5XPNoLMZSUmtIXAA1HwZNZpAS1xjKOU8R+kqmm7hidkkRKmZcJrppysVeazALgAuC8K/grwf5ji2g58Gfh6bZI2TNYuVX1eRBYBD4jIk8DvU9K1Ur3+B9Cjqq8lwQ2t1+IiU8KK62LS2mcFMpcnIp8Guil0vz6hLajqs2nPN4Assv4cuEtVT4nI57DR1eUZn20U1ZS1DtihtvcpMJl1WkBLKH8t4z8oI8eBt0ff3wY8j/nReJOIvD7pcYXwmiknq2TzdRT4R+CnqvrnKO8Tye0pERkEvjjVsiYmFFT1iIg8BCwD/pMWrFcReQNwL/BVVd0X5d3Qei2iVNtLS3NcRF4PvBGb68nybCPJVJ6I5LCX7qWqeiqEl2gLzVJUFWVV22Qa+AHw7ejZVUXPPtRwCfNlZf0brgP+JQ6Y5DotYLqYfR4DloitQJmBVfKw2ozKg5htHUr7H2oUwddRlrIm2P4SxRZs6muB3zRBxkBFWUVkTjCRiMg87FCep1qxXpO/+0+BO1T1x0VxzazX1LZXRv5rgAeSOhwG1iWrgRYCS4BHGyhb1bKKyDJgG7BGVV+MwlPbwhTLuiD6ugYIruLvAz6SyDwH+AiFI+xJlTORdSk2+bw3CpvsOi1kqmaas34wr6DHgVPYITD3JeFvBXZF6VYDz2BvzRui8EXYP9Qo8GNgZhNlPRs70exwcp2bhHcDP4zSnQf8L3BG0fMPYD6QfgPcCfzdVMoKXEzeJ9OTwGdbtV6BTwN/Bn4dfS6ajHpNa3uYWWlNcn9WUkejSZ0tip69IXnuEPAPzarDKmQdSf7PQh0OV2oLUyjrt4DfJjI9CLwrenZ9Ut+jQO9Uypl8vxG4qei5Sa/T+OM7fB3HcTqQ6WL2cRzHcarAlb/jOE4H4srfcRynA3Hl7ziO04G48nccx+lAXPk7juN0IK78HcdxOhBX/o7jOB3IXwG7q/wCS9lPoAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "k_means(X, 3, plot=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
